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Finding the Fourth Proportional to 1,172.09, 1,757.56 and 431.67

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Solution

The fourth proportional to 1,172.09, 1,757.56 and 431.67 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.09 : 1,757.56 = 431.67 : x
  2. Step 2: Convert to fraction form
    1,172.09/1,757.56 = 431.67/x
  3. Step 3: Cross multiply
    1,172.09x = 1,757.56 × 431.67
  4. Step 4: Simplify right side
    1,172.09x = 758,684.85
  5. Step 5: Solve for x
    x = 758,684.85/1,172.09
  6. Step 6: Final answer
    x = 647.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.